I keep getting inconsistent results with this one. I can't find a single vector that belongs to both sets. Is the question correctly formed?

Question:

Two subspaces S and T of R^3 are spanned by {(1,1,-2), (-1,1,0) } and { (1,1,0), (0,-11,1)} respectively. Find a non-zero vector X that belongs to .

This is what I did:

We need .

So,

Right so far?

From here I can't get any consistent solution for a, b such that .